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Preduals of spaces of vector-valued holomorphic functions

Christopher Boyd (2003)

Czechoslovak Mathematical Journal

For U a balanced open subset of a Fréchet space E and F a dual-Banach space we introduce the topology τ γ on the space ( U , F ) of holomorphic functions from U into F . This topology allows us to construct a predual for ( ( U , F ) , τ δ ) which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions....

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